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120300020 = 225191971607
BaseRepresentation
bin1110010101110…
…10000111110100
322101100212121022
413022322013310
5221244100040
615534240312
72660350631
oct712720764
9271325538
10120300020
11619a7205
1234356098
131bc00659
1411d97188
15a8646b5
hex72ba1f4

120300020 has 48 divisors (see below), whose sum is σ = 267442560. Its totient is φ = 45327744.

The previous prime is 120299999. The next prime is 120300127. The reversal of 120300020 is 20003021.

It is a junction number, because it is equal to n+sod(n) for n = 120299980 and 120300007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74057 + ... + 75663.

It is an arithmetic number, because the mean of its divisors is an integer number (5571720).

Almost surely, 2120300020 is an apocalyptic number.

120300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133721280).

120300020 is an abundant number, since it is smaller than the sum of its proper divisors (147142540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120300020 is a wasteful number, since it uses less digits than its factorization.

120300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 120300020 is about 10968.1365782889. The cubic root of 120300020 is about 493.6531355141.

Adding to 120300020 its reverse (20003021), we get a palindrome (140303041).

The spelling of 120300020 in words is "one hundred twenty million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 197 380 394 788 985 1607 1970 3214 3743 3940 6428 7486 8035 14972 16070 18715 30533 32140 37430 61066 74860 122132 152665 305330 316579 610660 633158 1266316 1582895 3165790 6015001 6331580 12030002 24060004 30075005 60150010 120300020